505333728 has 240 divisors, whose sum is σ = 1619735040. Its totient is φ = 153964800.

The previous prime is 505333727. The next prime is 505333769. The reversal of 505333728 is 827333505.

505333728 is a `hidden beast` number, since 50 + 533 + 3 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505333692 and 505333701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505333727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1526523 + ... + 1526853.

It is an arithmetic number, because the mean of its divisors is an integer number (6748896).

Almost surely, 2^505333728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809867520).

505333728 is an abundant number, since it is smaller than the sum of its proper divisors (1114401312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505333728 is a wasteful number, since it uses less digits than its factorization.

505333728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 505333728 is about 22479.6291784362. The cubic root of 505333728 is about 796.5128047565.

It can be divided in two parts, 5053 and 33728, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 505333728 in words is "five hundred five million, three hundred thirty-three thousand, seven hundred twenty-eight".